5977981440 has 400 divisors, whose sum is σ = 21674898432. Its totient is φ = 1574608896.

The previous prime is 5977981423. The next prime is 5977981447. The reversal of 5977981440 is 441897795.

5977981440 is a `hidden beast` number, since 59 + 7 + 79 + 81 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5977981447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26334607 + ... + 26334833.

Almost surely, 2^5977981440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5977981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10837449216).

5977981440 is an abundant number, since it is smaller than the sum of its proper divisors (15696916992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5977981440 is a wasteful number, since it uses less digits than its factorization.

5977981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The square root of 5977981440 is about 77317.4070956858. The cubic root of 5977981440 is about 1814.8950694068.

The spelling of 5977981440 in words is "five billion, nine hundred seventy-seven million, nine hundred eighty-one thousand, four hundred forty".